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Finding the Fourth Proportional to 654.17, 980.78 and 365.69

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Solution

The fourth proportional to 654.17, 980.78 and 365.69 is: 548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.17 : 980.78 = 365.69 : x
  2. Step 2: Convert to fraction form
    654.17/980.78 = 365.69/x
  3. Step 3: Cross multiply
    654.17x = 980.78 × 365.69
  4. Step 4: Simplify right side
    654.17x = 358,659.61
  5. Step 5: Solve for x
    x = 358,659.61/654.17
  6. Step 6: Final answer
    x = 548.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.